Shedding Light on Dark Matter with Fermi LAT Data on Gamma Rays

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The diffuse Galactic gamma-ray data from the region of the Galactic Center has been collected by the LAT instrument on the Fermi Gamma-Ray Space Telescope. In this paper we argue that it may be able to provide an unambiguous evidence of originating, in addition to known astrophysical sources, from dark matter annihilations in the halo, independently of the mass and other properties of the dark matter particle. We also show that the recently released high precision data from mid-latitudes is already providing an upper bound, albeit still a weak one, on the cuspiness of the dark matter density profile as a function of the mass of the dark matter assumed to be a stable neutralino of minimal supersymmetry.